The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.

Answers

Answer 1

Answer:

9.60 ; - 60.96

Step-by-step explanation:

Given the function :

F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.

x = 0

F(0)=6(0+1)/25 = 6/25 = 0.24

x = 1

F(1)=6(1+1)/25 = 12/25 = 0.48

x = 2

F(2)=6(2+1)/25 = 18/25 = 0.72

x = 3

F(2)=6(3+1)/25 = 24/25 = 0.96

x = 4

F(2)=6(4+1)/25 = 30/25 = 1.2

X ______0 _____ 1 ______ 2 ______ 3 ____ 4

P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2

Mean, μ = Σx*p(x) :

(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)

= 9.60

Variance : Σx²*p(x) - μ²

(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2

= 31.2 - 92.16

= - 60.96


Related Questions

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Answer:

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Step-by-step explanation:

We have given that the function,

f(x)=3(2)^x-4

Now we have to find the graph of the given function.

The graph of the given function is determined by

What is the exponential function?

The exponential functions model a relationship in which a constant change in the independent variable gives the same proportional change

here we use the graphical method

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

You have to use the tangent.

Tan(y) = opposite / adjacent

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500 * 0.1763 = x

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Quinn works at the Sugar Cup Café. This morning, she made the day's first batch of hazelnut coffee by mixing together 6 ounces of hazelnut syrup and 75 ounces of unflavored coffee. When it ran out in the afternoon, she made a second batch by mixing together 2 ounces of hazelnut syrup and 25 ounces of unflavored coffee. Which batch of coffee had a stronger hazelnut flavor?

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Step-by-step explanation:

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Step-by-step explanation:

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Challenge The price of Stock A at 9 AM was $15.55. Since then, the price has been increasing at the rate of $0.06 each hour. At noon the price of Stock B was $13.30. It begins to decrease at the rate of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?

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Step-by-step explanation:

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Step-by-step explanation:

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If Kenny wants to double the recipe, how many cups of flour will he need?

Answers

Answer:

68

Step-by-step explanation:

because she wants to double the recipe

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The answer is rotation on earth look closely at the picture and exam it

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Answers

Answer:

Step-by-step explanation:

u had $13. ur mom gave u $10. ur dad gave u $30. ur aunt, uncle, and grandma gives u $100. u had another $7. u have a total of $160.

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Answer:

$360

Step-by-step explanation:

Start off with 13, add 10 makes it 23

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Answer:

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4. I'm afraid I don't know how to solve this kind of problem.

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Step-by-step explanation:

1. 2 - (-3) + 6 = 5 + 6 = 11

2. 7.46 (5 and up round up)

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Hope that helps!

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2. 7.46

3. d - 21 = 7

   d = 28

4. 4/1

5. -5

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Answers

Answer:

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Mark wants to buy a new pair of shoes that cost $95. He has $20 and plans to save $5 each week. How many weeks will it take him to save the money?

Answers

Answer:

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Step-by-step explanation:

cost of shoes= 95

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Answer:

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On a math test a student, Jake, has to identify all the coefficients and constants of
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Hi how are you doing today Jasmine

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Answers

Answer:

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

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Step-by-step explanation:  

Given that;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

cumulative distribution function can be calculated by;  be cumulatively up the value of p(x) with the values before it;

so

x      F(x)

0     P(X = 0) = 0.17

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2      P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.23 + 0.27 = 0.65

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4      P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.17 + 0.23 + 0.27 + 0.24 + 0.09 = 1

Therefore, cumulative distribution function f(x) is;

(X)      0        1          2          3         4

P(X)   0.17   0.23    0.27    0.24    0.09

F(x)    0.17    0.04    0.65    0.91      1      

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Answers

Answer: 98 meter below

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Step-by-step explanation:

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Answers

Answer:

36

Step-by-step explanation:

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An equation is an expression that shows the relationship between two or more numbers and variables.

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Landon and Colin bought a 1/2
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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

Step-by-step explanation:

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Answers

F,B
A,D
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45°
good luck buddy

Step-by-step explanation:

Q5

Supplementary angles add up to 180°∠EGF and ∠FGB

Q6

Vertical angles formed by two intersecting lines and are opposite to each other∠EGF and ∠BGC

Q7

Adjacent angles share a common side∠AGB and ∠BGC

Q8

Complementary angles form a 90° angle∠BGC and ∠CGD

Q9

Measure of ∠CGD

∠CGD is complementary with ∠BGC and

∠BGC is vertical with ∠EGF, which is 35°

m∠CGD = 90° - 35° = 55°

Vernon is having a fish fry. Catfish is on sale for 6.10 per pound. Vernon buys 2 3 5 pounds of catfish. How do you write 2 3 5 as an improper fraction?

Answers

Answer:

76.8

Step-by-step explanation:

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